Another Leigh-Strassler deformation through the Matrix model

TL;DR

This paper applies the Dijkgraaf-Vafa matrix model approach to derive the effective superpotential for a Leigh-Strassler deformation of N=4 SYM, providing an exact solution expressed via elliptic functions.

Contribution

It presents the first exact solution of the matrix model for this specific Leigh-Strassler deformation, advancing the understanding of its effective superpotential.

Findings

Exact solution expressed in elliptic functions

Effective superpotential derived for the deformation

Demonstrates the applicability of matrix models to Leigh-Strassler deformations

Abstract

In here the matrix model approach, by Dijkgraaf and Vafa, is used in order to obtain the effective superpotential for a certain deformation of N=4 SYM discovered by Leigh and Strassler. An exact solution to the matrix model Lagrangian is found and is expressed in terms of elliptic functions.